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Firstly, do not worry! Even in my second year of university I'm still not 100% confident about using the subjunctive. A lot of it is simply instinctive and only becomes obvious after years of exposure to the...

To factorise this equation, we must find two numbers that add together to make 3 and multiply to make -4 . These numbers must be -3 and -1 . We would then rewrite the equation as (x-3)(x-1)=0. To solve this ...

For the introduction, It really needs to be a plan of the essay you're going to write and set out a clear plan for the examiner of the paragraphs you're going to write and your point of view throughout the e...

cos(2x) = 2cos 2 (x)-1 by the double angle formula. Rearrange to give cos 2 (x) = (cos(2x)+1)/2 Integrating this gives sin(2x)/4 + 1/4x + c

Here we are examining the imaginary number ‘i’, defined as the square root (sqrt) of ‘-1’.We begin by using Euler’s identity:e^(i π)+1=0e^(i π)=-1Since sqrt(x) is the same as x^(1/2):(e^(i π))^(1/2)=sqrt(-1)...